Equivalence relations induced by some locally compact groups of homeomorphisms of $2^{\mathbb{N}}$

B. Majcher-Iwanow. "Equivalence relations induced by some locally compact groups of homeomorphisms of $2^{ℕ}$." Colloquium Mathematicae 103.2 (2005): 287-301. <http://eudml.org/doc/286340>.

@article{B2005,
abstract = {Let T be a locally finite rooted tree and B(T) be the boundary space of T. We study locally compact subgroups of the group TH(B(T)) = ⟨Iso(T),V⟩ generated by the group Iso(T) of all isometries of B(T) and the group V of Richard Thompson. We describe orbit equivalence relations arising from actions of these groups on B(T).},
author = {B. Majcher-Iwanow},
journal = {Colloquium Mathematicae},
keywords = {Borel actions; rooted trees; profinite groups},
language = {eng},
number = {2},
pages = {287-301},
title = {Equivalence relations induced by some locally compact groups of homeomorphisms of $2^\{ℕ\}$},
url = {http://eudml.org/doc/286340},
volume = {103},
year = {2005},
}

TY - JOUR
AU - B. Majcher-Iwanow
TI - Equivalence relations induced by some locally compact groups of homeomorphisms of $2^{ℕ}$
JO - Colloquium Mathematicae
PY - 2005
VL - 103
IS - 2
SP - 287
EP - 301
AB - Let T be a locally finite rooted tree and B(T) be the boundary space of T. We study locally compact subgroups of the group TH(B(T)) = ⟨Iso(T),V⟩ generated by the group Iso(T) of all isometries of B(T) and the group V of Richard Thompson. We describe orbit equivalence relations arising from actions of these groups on B(T).
LA - eng
KW - Borel actions; rooted trees; profinite groups
UR - http://eudml.org/doc/286340
ER -